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Straight line graphs

by VRINDA SOBTI

Pages 2 and 3 of 22

The Straight Line Graph
VRINDA SOBTI
IBDP Year 1
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CONTENTS
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Introduction . . . . . . . . . . . . . . . . . . . . . . . . . .

Gradient of a Graph. . . . . . . . . . . . . . . . . . . .

Equation to find Gradient . . . . . . . . . . . . . . .

Basic equation of a straight line. . . . . . . . . .

Point gradient form. . . . . . . . . . . . . . . . . . . . .

General form . . . . . . . . . . . . . . . . . . . . . . . . . .

The mid-point of a line. . . . . . . . . . . . . . . . . . .

Some questions to solve. . . . . . . . . . . . . . . . . .

Answers!. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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03

06

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12

14

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16

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22
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INTRODUCTION
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What are linear graphs?
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Linear graphs can be represented as straight lines. The word linear itself means straight line! A linear graph is a straight line graph that is plotted on a Cartesian plane with x and y axis.

Equation of a straight line graph is
y = mx + c
Linear vs Non-Linear Graphs
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Fig 1
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Fig 1.1
Linear Graph
Non-Linear Graph
Basics
Key features of straight line graphs.
Fig 2
GRADIENT OF A GRAPH!
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Fig 3
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Fig 3.1
Parallel line graph
Perpendicular line graph
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Fig 4
Gradient of parallel lines
Parallel line graphs ALWAYS have the SAME gradient!
Hence, the formula is m1= m2
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